Least Common Multiple of 904/743, 244/450, 594/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 904/743, 244/450, 594/610 quickly i.e. 16377768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/743, 244/450, 594/610 is 16377768.

LCM(904/743, 244/450, 594/610) = 16377768

LCM of 904/743, 244/450, 594/610

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 904/743,244/450,594/610

Given numbers are 904/743,244/450,594/610

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 904,244,594

Least Common Multiple of Numerators i.e. LCM of 904,244,594 is 16377768.

GCF of Denominators means GCF of 743,450,610 as per the given fractions.

GCF of 743,450,610 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,244,594

LCM of Fractions 904/743,244/450,594/610 is 16377768

2 904, 244, 594
2 452, 122, 297
226, 61, 297

∴ So the LCM of the given numbers is 2 x 2 x 226 x 61 x 297 = 16377768

Least Common Multiple of 904,244,594 with GCF Formula

Least Common Multiple of 904,244,594 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 904,244,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,244,594) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(904,244,594) x common factors =2 x 4 = 8

LCM(904,244,594) = ( 904 × 244 × 594 ) / 8

LCM(904,244,594) = 131022144 / 8

LCM(904,244,594) = 16377768


Lets's calculate GCF of 743,450,610

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16377768/1

Therefore the LCM of Fractions 904/743,244/450,594/610 is 16377768

Greatest Common Factor of 743,450,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,450,610 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 743,450,610 . The biggest common factor number is the GCF number.
So the greatest common factor 743,450,610 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 904/743, 244/450, 594/610

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 904/743, 244/450, 594/610?

Answer: LCM of Numerators as per given numbers 904/743, 244/450, 594/610 is

LCM of Numerators i.e. for 904,244,594 is 16377768

GCF of denominators i.e. for 743,450,610 is 1.

Thus, LCM of Fractions is 16377768.Finally, LCM of Fractions for 904/743, 244/450, 594/610 is 16377768.